10575133848 has 160 divisors (see below), whose sum is σ = 31246459200. Its totient is φ = 3332311488.

The previous prime is 10575133843. The next prime is 10575133859. The reversal of 10575133848 is 84833157501.

It is a happy number.

10575133848 is a `hidden beast` number, since 1 + 0 + 57 + 513 + 3 + 84 + 8 = 666.

It is a super-2 number, since 2×10575133848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10575133843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11166511 + ... + 11167457.

It is an arithmetic number, because the mean of its divisors is an integer number (195290370).

Almost surely, 2^10575133848 is an apocalyptic number.

10575133848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575133848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623229600).

10575133848 is an abundant number, since it is smaller than the sum of its proper divisors (20671325352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10575133848 is a wasteful number, since it uses less digits than its factorization.

10575133848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10575133848 in words is "ten billion, five hundred seventy-five million, one hundred thirty-three thousand, eight hundred forty-eight".